外磁场下具有Dzyaloshinski-Moriya作用的海森堡链中的热纠缠

量子电子学报 ›› 2018, Vol. 35 ›› Issue (4): 444-450.

外磁场下具有Dzyaloshinski-Moriya作用的海森堡链中的热纠缠

黄利元,方卯发

1福建省厦门大学嘉庚学院信息科学与技术学院，福建漳州 363105；
2湖南师范大学物理与信息科学学院，湖南长沙 410081

收稿日期:2017-05-15 修回日期:2017-09-07 出版日期:2018-07-28 发布日期:2018-07-12
通讯作者: 黄利元（1982-）女，湖南临武人，主要研究方向为量子光学。 E-mail:lyhuang@xujc.com

Thermal entanglement in a Heisenberg chain with Dzyaloshinski-Moriya anisotropic antisymmetric interaction in external magnetic fields

Huang Liyuan, Fang Maofa

Received:2017-05-15 Revised:2017-09-07 Published:2018-07-28 Online:2018-07-12

摘要/Abstract

摘要：

仔细分析了DM相互作用常数D、温度T、均匀磁场B、非均匀磁场b、自旋耦合常数J和各向异性参数△对纠缠度C的影响。结果表明：虽然T和B升高使纠缠度C变小，但D增大使纠缠度变大，而且它会使Bt变大。当B>Bt和B

Abstract:

The influences of the DM coupling constant D, the temperature T, the uniform external magnetic field B, the nonuniform magnetic field b, the real coupling constant J and the anisotropic parameter Δ on the thermal entanglement measured by the concurrence C are studied in detail. The results show that both the increasing T and |B| decrease the C, but the increasing D develops the C, and D can also heighten the value of the threshold magnetic field |Bt|, before and after which the b has different influence on C. By comparison, it is found that the B and b have different effects on the area about J and Δ (JΔ > 0) where exists thermal entanglement as well as on C. What’s more, as the T increases, the variation rule of the range of B in which exists the thermal entanglement is different from b. As a result, the thermal entanglement can be controlled by adjusting the values of B, b, D, T, J and Δ in various terrible environment, such as in strong external magnetic field, or high temperature environment, which will be useful in the research of quantum information in solid systems.

中图分类号:

O431.2

黄利元方卯发. 外磁场下具有Dzyaloshinski-Moriya作用的海森堡链中的热纠缠[J]. 量子电子学报, 2018, 35(4): 444-450.

Huang Liyuan, Fang Maofa. Thermal entanglement in a Heisenberg chain with Dzyaloshinski-Moriya anisotropic antisymmetric interaction in external magnetic fields[J]. Chinese Journal of Quantum Electronics, 2018, 35(4): 444-450.

参考文献

[1] Wu Y, Payne M G, Hagley E W, et al. Preparation of multiparty entangled states using pairwise perfectly efficient single-probe photon four-wave mixing[J]. Phys. Rev. A, 2004, 69: 063803.
[2] Bennett C H and Wiesner S J. Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states[J]. Phys. Rev. Lett., 1992, 69: 2881.
[3] Bennett C H and Divincenzo D P. Quantum information and computation[J]. Nature, 2000, 404: 247-255.
[4] Murao M, Jonathan D, Plenio M B and Vedral V. Quantum telecloning and multiparticle entanglement[J]. Phys. Rev. A, 1999, 59: 156.
[5] Zhang G F. Thermal entanglement and teleportation in a two-qubit Heisenberg chain with Dzyaloshinski-Moriya anisotropic antisymmetric interaction[J]. Phys. Rev. A, 2007, 75(3): 034304.
[6] Qin M, Li Y B, Bai Z and Wang X. Effects of different Dzyaloshinskii-Moriya interaction and magnetic field on entanglement and fidelity intrinsic decoherence in a spin system[J]. Acta Phys. Sin., 2014, 63(11): 110302(in Chinese).
[7] Qin M, Li Y B, Bai Z, Wang X and Wu W Y. Thermal Entanglement in Two-Qutrit Heisenberg XX Chain with Different Dzyaloshinskii–Moriya Interaction and Nonuniform Magnetic Field[J]. Commun. Theor. Phys., 2012, 58(5): 653-656.
[8] Li S F. Thermal entanglement and teleportation in heisenberg model with Dzyaloshinski-Moriya anisotropic antisymmetric interaction in a homogeneous magnetic field[J]. Journal of Quanzhou Normal University, 2012, 30: 1-6(in Chinese).
[9] Seyit D H and Ekrem A. Thermal entanglement in the mixed three-spin XXZ Heisenberg model on a triangular cell[J]. Chin. Phys. B, 2014, 23(5): 050305.
[10] Xu L and Xia Y J. Quantum correlations and thhermal entanglement in a two-qubit Heisenberg XXZ model with external magnetic fields[J]. Chinese Journal of Quantum Electronics , 2012, 29(2): 185-191(in Chinese).
[11] Hu J, Fang J X, Qian L and He D G. Thermal entanglement of Ising model with Dzyaloshinskii-Moriya interaction in an inhomogeneous magnetic field[J]. Chinese Journal of Quantum Electronics, 2011, 28(3): 329-334.
[12] Qiao J and Zhou B. Thermal entanglement of the Ising–Heisenberg diamond chain with Dzyaloshinskii–Moriya interaction[J]. Chin. Phys. B , 2015, 24(11): 110306.
[13] Dzyaloshinski I. A thermodynamic superexchange interaction[J]. J. Phys. Chem. Solids, 1958, 4(4): 241-245.
[14] Moriya T. New mechanism of anisotropic superexchange interaction[J]. Phys. Rev. Lett., 1960, 4(5): 228.
[15] Nielsen M A. Quantum information theory[J]. arXiv: quant-ph, 2000, 0011036.
[16] Wootters W K. Entanglement of formation of an arbitrary state of two qubits[J]. Phys. Rev. Lett., 80(10): 2245-2248.